# Math Help - Give a topology on R

1. ## Give a topology on R

'Give a topology on R, that is neither trivial nor discrete, such that every open set is closed (and vice-versa)"

I don't really know how to go about it. What thought processes should I have?

Any help would be appreciated, preferably small hints

Thanks

2. How about the smallest topology in which $\{0\}$ is both open and closed?

3. I'm not sure what you mean, sorry

4. Actually, I do. Thanks